Range and Domain of a Function

A ball is placed in a machine that throws the ball up in the air. The table represents some points on the graph of a function that models the ball’s distance from the ground with respect to the time since the ball has been thrown. What is the range for this situation?

• All real numbers less than or equal to 7.66

• All real numbers less than or equal to 1.25

• All real numbers greater than or equal to 0 and less than or equal to 7.66

• All real numbers greater than or equal to 0 and less than or equal to 1.25

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?

• 0 ≤ x ≤ 230

• 6 ≤ y ≤ 36

• 0 ≤ y ≤ 36

• 6 ≤ x ≤ 230

What appears to be the domain of the part of the exponential function graphed on the grid?

• 5.3 ≤ y ≤ 27

• 5.3 ≤ x ≤ 27

• −1 ≤ y ≤ 3

• −1 ≤ x ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which answer choice best represents the domain and range of the function?

• Domain: x ≥ −3 Range: y ≥ 5

• Domain: All real numbers

  Range: y ≥ 5

• Domain: x ≥ −3 Range: All real numbers

• Domain: y ≥ 5 Range: x ≥ −3

Which inequality best represents the domain of the part shown?

• x > 1

• y > 1

• x > −2

• y > −2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Function h can be used to model the height in feet of a rocket from the ground t seconds after it was launched. What was the range of its trajectory?

• 0 < y < 225

• 0 < x < 7.5

• 0 ≤ y ≤ 225

• 0 ≤ x ≤ 7.5

What is the range of this function?

• All real numbers

• All real numbers greater than or equal to 8

• All real numbers less than 8

• All real numbers less than or equal to 8

Tags

CCSS.HSF-IF.C.7A

What is the domain of this function?

• - 2 ≤ x ≤ 6

• - 2 ≤ y ≤ 6

• All real numbers

• All real numbers greater than or equal to -5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

what is the range of this function?

• -4 ≤ y ≤ 2

Tags

CCSS.HSF-IF.C.7A

A part of an exponential function is graphed on the grid. Which inequality best represents the domain of the part shown?

• x ≥ −2

• y ≥ 4.5

• x ≥ 4.5

• y ≥ −2

Tags

CCSS.HSA.REI.D.12